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385434216564 = 2234734912791531
BaseRepresentation
bin1011001101111011010…
…10110110100001110100
31100211212120110220110020
411212331222312201310
522303332124412224
6453022132525140
736563263533045
oct5467552664164
91324776426406
10385434216564
11139509626751
12628491807b0
132a466a53b87
14149258cc8cc
15a05cca5c79
hex59bdab6874

385434216564 has 96 divisors (see below), whose sum is σ = 922435584000. Its totient is φ = 125204330880.

The previous prime is 385434216547. The next prime is 385434216571. The reversal of 385434216564 is 465612434583.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251752479 + ... + 251754009.

It is an arithmetic number, because the mean of its divisors is an integer number (9608704000).

Almost surely, 2385434216564 is an apocalyptic number.

It is an amenable number.

385434216564 is an abundant number, since it is smaller than the sum of its proper divisors (537001367436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385434216564 is a wasteful number, since it uses less digits than its factorization.

385434216564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3211 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 51.

The spelling of 385434216564 in words is "three hundred eighty-five billion, four hundred thirty-four million, two hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 349 564 698 1047 1279 1396 1531 2094 2558 3062 3837 4188 4593 5116 6124 7674 9186 15348 16403 18372 32806 49209 60113 65612 71957 98418 120226 143914 180339 196836 215871 240452 287828 360678 431742 446371 534319 721356 863484 892742 1068638 1339113 1602957 1785484 1958149 2137276 2678226 3205914 3916298 5356452 5874447 6411828 7832596 11748894 20979437 23497788 25112993 41958874 50225986 62938311 75338979 83917748 92033003 100451972 125876622 150677958 184066006 251753244 276099009 301355916 368132012 552198018 683394001 1104396036 1366788002 2050182003 2733576004 4100364006 8200728012 32119518047 64239036094 96358554141 128478072188 192717108282 385434216564